Robust stability of uncertain stochastic fuzzy cellular neural networks

被引：25
|
作者：
Yang, Huizhong [1 ]
Sheng, Li [1 ,2 ]
机构：
[1] Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Jiangsu, Peoples R China
[2] Univ Maryland, Syst Res Inst, College Pk, MD 20742 USA
来源：
NEUROCOMPUTING | 2009年 / 73卷 / 1-3期
基金：
中国国家自然科学基金;
关键词：
Robust stability; Fuzzy cellular neural networks; Stochastic systems; Lyapunov functional; Linear matrix inequality; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; CRITERIA; SYSTEMS; DISCRETE;
D O I：
10.1016/j.neucom.2009.02.021
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Takagi-Sugeno (TS) fuzzy models are often used to describe complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning applied to a set of linear submodels. In this paper, the global robust stability problem of TS fuzzy cellular neural networks with parameter uncertainties and stochastic perturbations is investigated. Based on the Lyapunov method and stochastic analysis approaches, the globally robust asymptotically stable condition is presented in terms of linear matrix inequalities (LMIs), which can be easily solved by some standard numerical packages. A simulation example is provided to illustrate the effectiveness of the proposed criteria. Crown Copyright (C) 2009 Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：133 / 138
页数：6
相关论文
共 50 条
  • [1] Robust exponential stability of a class of uncertain stochastic Fuzzy BAM neural networks with mixed delays
    Jin, Yingshan
    Lu, Yuan
    Xing, Jun
    2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 1390 - 1395
  • [2] Robust stability for uncertain stochastic fuzzy BAM neural networks with time-varying delays
    Ali, M. Syed
    Balasubramaniam, P.
    PHYSICS LETTERS A, 2008, 372 (31) : 5159 - 5166
  • [3] Robust Exponential Stability Analysis for Uncertain Stochastic Neural Networks
    Tang, Xinhuai
    Xie, Li
    2010 INTERNATIONAL CONFERENCE ON BIO-INSPIRED SYSTEMS AND SIGNAL PROCESSING (ICBSSP 2010), 2010, : 158 - 161
  • [4] Robust Exponential Stability Analysis for Uncertain Stochastic Neural Networks
    Tang, Xinhuai
    Xie, Li
    INFORMATION AND MANAGEMENT ENGINEERING, PT V, 2011, 235 : 1 - +
  • [5] Stability analysis of stochastic fuzzy cellular neural networks with delays
    Chen, Ling
    Zhao, Hongyong
    NEUROCOMPUTING, 2008, 72 (1-3) : 436 - 444
  • [6] ROBUST EXPONENTIAL STABILITY OF UNCERTAIN FUZZY STOCHASTIC NEUTRAL NEURAL NETWORKS WITH MIXED TIME-VARYING DELAYS
    Li, Yajun
    Deng, Feiqi
    Xie, Fei
    Jiao, Like
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2018, 14 (02): : 615 - 627
  • [7] Robust stability of uncertain fuzzy cellular neural networks with time-varying delays and reaction diffusion terms
    Balasubramaniam, P.
    Ali, M. Syed
    NEUROCOMPUTING, 2010, 74 (1-3) : 439 - 446
  • [8] Robust asymptotical stability for uncertain stochastic neural networks with discrete and distributed delays
    Wang, Shu-Yun
    Wang, Shao-Ying
    Li, Guo-Gang
    Gao, Zhi-Feng
    PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2008, : 815 - +
  • [9] Robust exponential stability of uncertain impulsive stochastic neural networks with delayed impulses
    Li, Dianqiang
    Cheng, Pei
    Hua, Mingang
    Yao, Fengqi
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (17): : 8597 - 8618
  • [10] Uniform stability of stochastic fractionalorder fuzzy cellular neural networks with delay
    Zhang Q.
    Yang H.
    Xin Z.
    Yang, Hongfu (hongfu_yang@sina.com), 1600, IOS Press BV (21): : 1 - 14
12345